Answer:
Part A
The height of the stack made of 8 containers is 19.6 cm
Part B
When the tower is 40.6 cm tall, the number of containers in the set are 22 containers
Part C
(Disagree) The height of a single container is 9.1
Step-by-step explanation:
The question relates to containers, stacked one inside the other such that the height increases by only the wider top edge of the containers
The given expression that gives the height of the stack is presented as follows;
1.5·c + 7.6
Where;
c = The number of containers in the stack
Part A
When there are 8 containers, we have;
h(8) = 1.5 × 8 + 7.6 = 19.6
The height of the stack made of 8 containers, h(8) = 19.6 cm
Part B
When the tower (height of the stack set) is 40.6 cm tall, we have;
h(c) = 1.5·c + 7.6 = 40.6
∴ The number of containers, c = (40.6 - 7.6)/1.5 = 22
When the tower is 40.6 cm tall, the number of containers in the set, c = 22 containers
Part C
Given that the height stack increases only by the thickness of the wider rim of each added container, we have;
The expression for the height of the stack , 1.5·c + 7.6, is the expression for a straight line equation, m·x + c
The thickness of each rim = The slope, of the line, m = The increase in height with number of containers = 1.5
The number of containers (The independent variable, x) = The number of stacked rims = c
The minimum height = The height of a single container = 1.5 × 1 + 7.6 = 9.1
Therefore, the height of a single container = 9.1 not 7.6
Plzzzz Help :'( ASAP! I Don't Understand
Answer:
D.) 119º
Step-by-step explanation:
All angles in a triangle have to add up to 180º. Add 87º and 32º to get 119º, then subtract from 180º to get 61º. Angle C is 61º. Since it's also supplementary to 1, subtract 61º from 180º. 1 is 119º.
Answer:
D) 119°
C) The two angles are supplementary.
Step-by-step explanation:
First problem:
<1 is an exterior angle of the triangle.
<A and <B are interior angles of the triangle far from <1.
For <1, angles A and B are called remote interior angles.
Theorem:
The measure of an exterior angle of a triangle is equal to the sum of the measures of its remote interior angles.
m<1 = m<A + m<B
m<1 = 87° + 32°
m<1 = 119°
Answer: D) 119°
Second problem:
AB is a line. The diagonal line intersects line AB forming 4 angles, a, b, c, and d. Angles c and d are next to each other, called adjacent angles, and have a common side, and the other two sides lie on line AB. That makes angles c and d a "linear pair." Two angles in a linear pair have measures that add to 180°, so angles c and d are supplementary angles.
Answer: C) The two angles are supplementary.
Help!!! I don’t get this
S, sample space :
all the possible outcomes of an experiment
number × sampel space = 8
Answer :
D. HHH, HHT, HTH, HTT, THH, THT, TTH, TTT
*answer can get from the list of sample space (in pic)
Answer :
A.
* answer can get from the final of tree diagram (in pic)
In my school there are 500 students. 20% of
them wear spectacles. How many students
(a) wear spectacles?
(b) do not wear spectacles?
Answer:
It is do not we're spectacles
Answer:
do not wear spectacle
Step by step explanation:
20 ÷100×500= 20×5÷1= 100
therefore 100 students wear spectacles
Evaluate the expression.
I 9 I
Answer:
it's literally just 9
Step-by-step explanation:
Answer:
your answer would be 9
Step-by-step explanation:
PLEASE HELP! I’m not sure if i’m right
Answer:
looks right
Step-by-step explanation:
Answer:
you are correct
Step-by-step explanation:
Jason is a skilled rapper. He has already rapped a 40-word intro to a song and continues to rap 5 words per second.
Write an inequality to determine how many more seconds tt he will rap to complete the song if the total song, including the intro, is at least 500 words.
Answer:
5[tex]t[/tex] + 40 ≤ 500
Step-by-step explanation:
Jason can rap 5 words per second
5t
He can already rap 40 words into the song
40
There are 500 words to the whole song
500
5[tex]t[/tex] + 40 ≤ 500
The inequality to determine how many more seconds t he will rap to complete the song if the total song, 5t+ 40 ≥500.
What is Inequality?Mathematical expressions with inequalities are those in which the two sides are not equal. Contrary to equations, we compare two values in inequality. Less than (or less than or equal to), greater than (or greater than or equal to), or not equal to signs are used in place of the equal sign.
Given:
Jason can rap 5 words per second
let 't' be the time Jason rap then number of words he rap after t seconds 5t.
and, He can already rap 40 words into the song
Also, the whole sing contains 500 words.
Then, the inequality is
5t+ 40 ≥500.
Learn more about Inequality here:
https://brainly.com/question/28823603
#SPJ2
6 shirts cost $240.84 find the cost of 1 shirt
Answer:
$40.14
Step-by-step explanation:
In ΔRST, the measure of ∠T=90°, the measure of ∠R=24°, and RS = 3.8 feet. Find the length of ST to the nearest tenth of a foot
Answer:
1.5
Step-by-step explanation:
Answer:
1.5
Step-by-step explanation:
Solve for x. Round answers to the nearest tenth.
Answer:
42.4
Step-by-step explanation:
What is the angle provided? Well, its 43 degrees. Now we want to figure out the relationship between the given side (the one with length 31) and angle 43 degrees. Its adjacent to it, and since x is the hypotenuse, we know that we are working with cosines.
[tex]cos(43) = 31/x[/tex]
[tex]0.73135 = 31/x[/tex]
[tex]x * 0.73135 = 31[/tex]
[tex]x = 31/0.73135 = 42.4[/tex]
Which of the following are in the correct order from least to greatest?
7л
2,6,
80°, 4
4,38
8 7
O 38°, 80°, 4 , 6 , 2x
7x
38°, 4
, 80°, 6. 2x
37x
O 2x, 38°, 80°, 4, 6
Answer:
2,6,10,14,18,22,26,30
9 4/5 - 1 2/3 please helpp
The answer is 8 2/15 yw :)
Answer:
[tex]8\frac{2}{15}[/tex]
Step-by-step explanation:
[tex]9\frac{4}{5} -1\frac{2}{3} \\\\\frac{49}{5} -\frac{5}{3} \\\\\frac{147}{15} -\frac{25}{15} \\\\\frac{122}{15} =8\frac{2}{15}[/tex]
Can someone help me with this question.
15) Two-thirds of the 5th graders are wearing sneakers today. If there are 120 5th graders, how many are wearing sneakers today? *
Answer:
80 students
Step-by-step explanation:
Given that,
Total number of students in 5th grade = 120
Two-thirds of the 5th graders are wearing sneakers today.
Let there are x graders wearing sneakers today.
[tex]x=120\times \dfrac{2}{3}\\\\=80[/tex]
Hence, 80 students are wearing sneakers today.
Use the given set to determine the solution for each equation.
13y + 8 = 125 {1, 6, 9, 15}
y = _________
I NEED HELP ANSWERING THE SECOND ONE
Answer:
43
DEF is identical to JHG, therefore has the same angle measurements
Jim has 32 coins in his possession.
Some are quarters and some are dimes.
The total amount for the coins is $4.85.
How many quarters does he have?
Natasha bought a tennis racket that was marked down by 20%. If the racket was originally priced at $125, how much did Natasha pay?
A
Natasha paid $100.
B
Natasha paid $25.
C
Natasha paid $80.
D
Natasha paid $45.
Answer:
A. 100$
Step-by-step explanation:
take 125 and multiply it to .20 (this is 20% in decimal form) this gives you 25. you know subtract 25 from 125 which gives you 100.
Find the common factors of the given terms:
2y, 22xy. Ok
Answer:
2y
Step-by-step explanation:
this is common factor of both the terms
because 2y divides both term
hope it helps
H=-16t^+55t+50 where h is the height of the bird and t is the amount of time, in seconds, the bird has been in the air. How long will it take the bird to reach a height of 40
Answer:
It will take the bird 3.61 seconds to reach a height of 40.
Step-by-step explanation:
You have:
H=-16t²+55t+50
where H is the height of the bird and t is the amount of time, in seconds, the bird has been in the air.
To know the time it will take for the bird to reach a height of 40, you must replace the height H with 40:
40=-16t²+55t+50
Then:
0= -16t²+55t+50-40
0=-16t²+55t+10
Being a quadratic function of the form 0 = A * x + B * x + C, to calculate the values of x the expression can be applied:
[tex]x1,x2=\frac{-B+-\sqrt{B^{2} -4*A*C} }{2*A}[/tex]
In this case, being A = -16, B = 55 and C = 10 and replacing, the values are obtained: t1 = 3.61 and t2 = -0.173. Since time cannot be negative, it will take the bird 3.61 seconds to reach a height of 40.
Steffie makes a scale drawing for a crate with the demensions 15 inches long by 12 inches wide. Her scale factor is 1:3. Brian makes a scale drawing for steffie with the scale factor of 1:9. What is Brians dememsion?
Answer:
Dimensions → (5 inches × 4 inches)
Step-by-step explanation:
Scale factor used for the drawing by Steffie = [tex]\frac{1}{3}[/tex]
Since, scale factor = [tex]\frac{\text{Dimension of the drawing}}{\text{Actual dimension}}[/tex]
For Steffie,
Actual length of the crate = [tex]\frac{\text{Dimension of the drawing}}{\text{Scale factor}}[/tex]
= [tex]\frac{15}{\frac{1}{3}}[/tex]
= 45 inches
Actual width of the crate = [tex]\frac{12}{\frac{1}{3} }[/tex]
= 36 inches
Since Brian used the scale factor = [tex]\frac{1}{9}[/tex]
Length of the drawing = Actual length × Scale factor
= 45 × [tex]\frac{1}{9}[/tex]
= 5 inches
Width of the drawing = Actual width × Scale factor
= 36 × [tex]\frac{1}{9}[/tex]
= 4 inches
Therefore, dimensions of the drawing made by Brian are (5 inches × 4 inches)
Find the value of 5x + 3y - 7z when x = 4, y = -5 and z = 8
Answer:
-51
Step-by-step explanation:
5x + 3y -7z = 5 x 4 + 3 x -5 - 7 x 8
= 20 - 15 - 56
= -51
Answer:
This is your answer ☺️. If I'm right so,
Please mark me as brainliest. thanks!!!
()=+3(+5)(−2)
Simplify
Answer :
6
How :
5 - 2 = 3 + 3 = 6
help please im using my all out attack
you have a calculator on your tabs .,.
Answer:
Use fraction multiplication
Step-by-step explanation:
It isn't to hard just lok at some notes and don't let a calculaotr mess you up.
Add to the starting height or use slope, y-mx+b
You work at Initech for a year. Your annual salary income is $38,000. You received a 3% salary increase. What is your NEW salary with the raise?
$49,400. If you multiply the income (38,000) by the salary increase (3%=0.3), then you get 49,400. Good Luck!
Find the annual rate (written as a percent) on a loan of $1950 for 2 years and 9 months if the simple interest earned is $321.75
Answer:
6%
Step-by-step explanation:
Given that :
Principal , P = $1950
Interest earned, I = $321.75
Period, t = 2 years 9 month = 2 9/12 = 2.75
I = P * r * t
321.75 = 1950 * r * 2.75
321.75 = 5362.5 * r
r = 321.75 / 5362.5
r = 0.06
r = 0.06 * 100% = 6%
for the following system, use the second equation to make a substitution for why in the first equation. Will mark brainlyest!
2x + y = 5
y + 3 = 2x
a. 2 x + 3 - 2 x = 5
b. 2 x + 2 x - 3 = 5
c. 2 x + 2 x + 3 = 5
Answer:
b
Step-by-step explanation:
get y by itself in the second equation: y= 2x-3
substitute this into the y of the first equation:
2x+2x-3= 5
Can someone who is good in algebra help me with graphing the
inverse of the function represented by the graph
Answer:
To find the inverse, locate points on the graph. In this case, the plotted points are (4, -5) (5,-4) and (6,-1). To figure out the inverse, we just swap those around. (-5, 4) (-4, 5) and (-1, 6).
Some more points that you can plot are: (2, -1) (3, -4) and swap those around for (-1, 2) and (-4, 3).
Step-by-step explanation:
Need ASAP please help me
Answer:
image not loading sorry
Step-by-step explanation:
Answer:
1
Step-by-step explanation:
Find the distance between (5, 9) & (-7, -7). Round to the nearest tenth.
Answer:
20.0 units
Step-by-step explanation:
[tex]\boxed{distance = \sqrt{ {(y1 - y2)}^{2} + {(x1 - x2)}^{2} }}[/tex]
Distance between (5, 9) and (-7, -7)
[tex] = \sqrt{( - 7 - 9)^{2} + ( - 7 - 5)^{2} } [/tex]
[tex] = \sqrt{( - 16)^{2} + ( - 12)^{2} } [/tex]
[tex] = \sqrt{256 + 144} [/tex]
[tex] = \sqrt{400} [/tex]
= 20 units
y=-4x-3
y=-2x+1
x=?
y=?
Answer:
x = -2
y = 5
Step-by-step explanation:
y = -4x - 3
y = -2x + 1 Multiply this whole equation by -1
-1(y = -2x + 1) = -y = 2x - 1
y = -4x - 3
-y = 2x - 1
0 = -2x - 4
4 = -2x
x = -2
y = -4x - 3 (Plug in x)
y = -4(-2) - 3
y = 8 - 3
y = 5